Bowe posted a $750 bond and was released from a suburban Kansas City jail late Sunday night, the final day of the Chiefs' bye week. He was pulled over for speeding, and an officer smelled marijuana in Bowe's Audi. A search turned up 16.8 grams of the drug, some of which belonged to Bowe's passenger, who was also arrested.

Bowe practiced Monday.

"Listen, it's a legal matter, so there are rules, regulations and laws involved, so I try to follow those best I can," Reid said. "I addressed the player and the team about it. I try to follow the protocol about it."

The NFL's collective bargaining agreement stipulates that the league, not individual teams, will handle discipline for players who violate the league's substance abuse problem. That discipline typically does not occur until after a criminal case is resolved.

Bowe, who signed a five-year contract worth $56 million in March, is the Chiefs' second-leading receiver (behind running back Jamaal Charles) with 33 catches for 369 yards and two touchdowns.

Bowe served a four-game suspension in 2009 for a violation of the performanc-enhancing drug policy, claiming he accidentally took a banned diuretic. Recreational drug use falls under a different part of the personal conduct policy.